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A condition of equivalence of logarithmic methods of summation

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Literature cited

  1. K. Ishiguro, “A converse theorem on the summability methods,” Proc. Japan Acad.,39, No. 1 (1963).

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  5. A. P. Kokhanovskii, “Theorems of Tauberian type for a semicontinuous logarithmic method of summation of series,” Ukrainskii Matem. Zh.,26, No. 6 (1974).

  6. V. I. Mel'nik, “On the summation of series by the Cesaro and Abel-Poisson methods,” Matem. Sb.,67(109), No. 4 (1965).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 2, pp. 229–234, March–April, 1975.

In conclusion, the author thanks N. A. Davydov for constant attention and valuable advice.

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Kokhanovskii, A.P. A condition of equivalence of logarithmic methods of summation. Ukr Math J 27, 182–186 (1975). https://doi.org/10.1007/BF01090002

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  • DOI: https://doi.org/10.1007/BF01090002

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